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Finding the Fourth Proportional to 205,492.87, 307,808.92 and 165,294.73

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Solution

The fourth proportional to 205,492.87, 307,808.92 and 165,294.73 is: 247,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,492.87 : 307,808.92 = 165,294.73 : x
  2. Step 2: Convert to fraction form
    205,492.87/307,808.92 = 165,294.73/x
  3. Step 3: Cross multiply
    205,492.87x = 307,808.92 × 165,294.73
  4. Step 4: Simplify right side
    205,492.87x = 50,879,192,322.99
  5. Step 5: Solve for x
    x = 50,879,192,322.99/205,492.87
  6. Step 6: Final answer
    x = 247,595.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.